Loose Legendrians and the plastikstufe

We show that the presence of a plastikstufe induces a certain degree of flexibility in contact manifolds of dimension 2n+1>3. More precisely, we prove that every Legendrian knot whose complement contains a "nice" plastikstufe can be destabilized (and, as a consequence, is loose). As an...

Full description

Bibliographic Details
Main Authors: Murphy, Emmy (Contributor), Niederkrüger, Klaus (Author), Plamenevskaya, Olga (Author), Stipsicz, András I (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Mathematical Sciences Publishers, 2015-01-22T15:28:14Z.
Subjects:
Online Access:Get fulltext